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The input to a causal LTI system is 1 x[u] = u[n 1]+()'I u[n]. 'Ihe z-transform of the output of this system is Y(z) = . (1 %z'1) (1+ 2") (3)

Please complete parts a, b, and c for the following system.

Screen Shot 2018-04-02 at 11.16.05 AM.png

Screen Shot 2018-04-02 at 11.16.05 AM.png

The input to a causal LTI system is 1 x[u] = u[—n —1]+(§)’I u[n]. 'Ihe z-transform of the output of this system is Y(z) = —.
(1 —%z’1) (1+ 2")
(3) Determine H(z), the z-transform of the system impulse response. Be sure to specify
the ROC.
(b) What is the ROC for Hz)?
(c) Determine yln].

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